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6969420900 = 22335213238997
BaseRepresentation
bin1100111110110100…
…01110110001100100
3122222201012021011000
412133122032301210
5103233132432100
63111322513300
7334465046241
oct63732166144
918881167130
106969420900
112a57069092
121426065830
13870b8a4c0
144a187a5c8
152abcc8900
hex19f68ec64

6969420900 has 576 divisors, whose sum is σ = 25723353600. Its totient is φ = 1605795840.

The previous prime is 6969420893. The next prime is 6969420917. The reversal of 6969420900 is 90249696.

6969420900 = 3322 + 3332 + ... + 27562.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71849652 + ... + 71849748.

It is an arithmetic number, because the mean of its divisors is an integer number (44658600).

Almost surely, 26969420900 is an apocalyptic number.

6969420900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6969420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861676800).

6969420900 is an abundant number, since it is smaller than the sum of its proper divisors (18753932700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6969420900 is a wasteful number, since it uses less digits than its factorization.

6969420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 6969420900 is about 83483.0575625977. The cubic root of 6969420900 is about 1910.1416065986.

The spelling of 6969420900 in words is "six billion, nine hundred sixty-nine million, four hundred twenty thousand, nine hundred".